please solve 1-A,1-B,1-C,1-F Activity 1:The motion equation of damped mass-spring system as shown in Fig. 1 below is given asfollows:md²xdx-+c+kx = f(t), t> 0dt² dtwhere:x(t): displacement in meters.m: mass in kg.c: damping coefficient in kg/s.k: spring stiffness constant in N/m.t: time in seconds.f(t): external force applied on system in N.kf(t)mCAssume that: m = 2 kg, c = 3 kg/s, k = 20 N/m. Initially, assume f(t) = 0.X(t)Fig. 1: Damped mass-spring system.(1-a) Determine the general solution of x (t).(1-b) Given the initial conditions x (0) = 4, and x'(0) = 1, determine the particular solution ofx(t).(1-c) Use Laplace transform to solve the given differential equation with the same initialconditions given in (1-b).(1-d) Critically evaluate how your mathematical solution behaves in transient and steady stateregions.(1-e) Build a Simulink block model of the system, and generate the results of the differentialequation. Show the model and the results in your report and specify the transient andsteady state regions. Make sure you submit the simulation file (properly named).(1-f) Assume now that the external force f(t) equals 10 N, repeat all parts (1-a,b,c,d,e).

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Activity 1: The motion equation of damped mass-spring system as shown in Fig. 1 below is given as follows: d²x dx dtz +c dt m. + kx = f(t),t> 0 where: x(t): displacement in meters. k C

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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